% Benjamin Leone
clc;
clear;
close all;
Problem 1
A
B
C
D
E
F
=
=
=
=
=
=
[3
[7
[7
[3
[3
[3
5
5
5
5
6
6
3
3
5
5
5
3
1]';
1]';
1]';
1]';
1]';
1]';
Tneg = [1 0 0 -3; 0 1 0 -5; 0 0 1 -5; 0 0 0 1];
Tpos = [1 0 0 3; 0 1 0 5; 0 0 1 5; 0 0 0 1];
M = [A B C D E F];
theta = 30; % degrees
Rx = [1 0 0 0; 0 cosd(theta) sind(theta) 0; ...
0 -sind(theta) cosd(theta) 0; 0 0 0 1];
beta = [1.5 0 0 0; 0 1.5 0 0; 0 0 1.5 0; 0 0 0 1];
M1 = ((Tneg*Rx)*Tpos)*M
sol = beta*M1
M1 =
3.0000
7.6603
-3.0718
1.0000
7.0000
7.6603
-3.0718
1.0000
7.0000
8.6603
-1.3397
1.0000
3.0000
8.6603
-1.3397
1.0000
3.0000
9.5263
-1.8397
1.0000
3.0000
8.5263
-3.5718
1.0000
10.5000
11.4904
-4.6077
1.0000
10.5000
12.9904
-2.0096
1.0000
4.5000
12.9904
-2.0096
1.0000
4.5000
14.2894
-2.7596
1.0000
4.5000
12.7894
-5.3577
1.0000
sol =
4.5000
11.4904
-4.6077
1.0000
Published with MATLAB® R2020b
1